@article{AIHPA_1985__42_4_407_0, author = {Carlen, E. A.}, title = {Potential scattering in stochastic mechanics}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {407--428}, publisher = {Gauthier-Villars}, volume = {42}, number = {4}, year = {1985}, mrnumber = {801237}, zbl = {0581.60096}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1985__42_4_407_0/} }
Carlen, E. A. Potential scattering in stochastic mechanics. Annales de l'I.H.P. Physique théorique, Tome 42 (1985) no. 4, pp. 407-428. http://www.numdam.org/item/AIHPA_1985__42_4_407_0/
[1] Quantum Fluctuations, Princeton, Princeton University Press, 1984. | MR | Zbl
,[2] Quantization of Dynamical Systems and Stochastic Control Theory, Phys. Rev. D., t. 27, 1983, p. 1771-1786. | MR
, ,[3] Stochastic Mechanics of Systems with Zero Potential, J. Func. Analysis, t. 38, 1980, p. 146-155. | MR | Zbl
,[4] Spectral Properties of Schrödinger Operators and Time Decay of the Wave Functions, Duke Math., Jour., t. 46, 1979, p. 583-611. | MR | Zbl
, ,[5] Methods of Modern Mathematical Physics, Vol. I: Functional Analysis, New York, Academic Press, 1972. | Zbl
, ,[6] Multidimensional Diffusion Processes, New York, Springer, 1979. | MR | Zbl
, ,[7] Conservative Diffusions, Com. Math. Phys., t. 94, 1984, p. 273-296. | MR | Zbl
,[8] Stochastic Integrals, New York, Academic Press, 1969. | MR | Zbl
,[9] A Course in Mathematical Physics I: Classical Dynamical Systems, New York, Springer, 1978. | MR | Zbl
,[10] Wave Operators for Classical Particle Scattering, Com. Math. Phys., t. 23, 1971, p. 37-48. | MR | Zbl
,[11] Geometric Methods in Spectral and Scattering Theory for Schrödinger Operators in Rigorous Results in Atomic and Molecular Physics, G. Velo and A. Wightman eds., New York, Plenum 1981.
,[12] Schrödinger Semigroups, Bull. A. M. S., t. 7 (New Series), 1982, p. 447-526. | MR | Zbl
,[13] Asymptotic Convergence and the Coulomb Interaction, J. Math. Physics, t. 5, p. 729-738. | MR
,[14] Propagation of States in Dialation Analytic Potentials and Asymptotic Completeness, Comm. Math. Phys., t. 81, 1981, p. 243-259. | MR | Zbl
,[15] Stochastic Interpretation of Potential Scattering in Quantum Mechanics, Lett. Math. Phys., t. 8, 1984, p. 1-6. | MR | Zbl
,[16] Dynamical Theories of Brownian Motion, Princeton, Princeton University Press, 1967. | MR | Zbl
,[17] Convergence of Random Processes and Limit Theorems in Probability Theory. Theor. Prob. and Appl., t. 1, 1956, p. 157-214. | Zbl
,[18] Elastic Scattering in Stochastic Mechanics, Lett. Nuov. Cim., t. 41, 1984, p. 198. | MR
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